Question

One brand of coffee is packaged in cylinders where the height is equal to the radius, r. The volume of the package, in cubic centimeters, can be found using the function V(r) = πr3. The number of ounces of coffee in the cylinder depends on the volume of the cylinder, V, in cubic centimeters. This can be modeled by the function C(V) = 3.2V.

Answer 1

C(V(r)) = 3.2πr3

Explanation:

This problem is a composition of function defined by C(V(r)), now we have the functions
`V(r)= \pi r^(3)` and
`C(V)=3.2V`, where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,

`C(V(r))=3.2(\pi r^(3) )`

Therefore, the right answer is the last choice.